Colin D. Reid

most citedFiniteness properties of profinite groups

4 citations · 4 across the 3 of their papers we have counts for

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math.GR2022

Multiple transitivity except for a system of imprimitivity

Colin D. Reid

Let $Ω$ be a set equipped with an equivalence relation $\sim$ ; we refer to the equivalence classes as blocks of $Ω$ . A permutation group $G \leq Sym (Ω)$ is $k$ -by-block-tra…

math.GR2010

On finite groups whose Sylow subgroups have a bounded number of generators

Colin D. Reid

Let G be a finite non-nilpotent group such that every Sylow subgroup of G is generated by at most d elements, and such that p is the largest prime dividing |G|. We show that G has…

math.GR2010★ 4 cited

Finiteness properties of profinite groups

Colin Reid

Broadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness p…